Elements of Plane and Solid GeometryGinn and Heath, 1877 - 398 σελίδες |
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Αποτελέσματα 6 - 10 από τα 35.
Σελίδα 100
... - circumferences ACB and AQ B , and the line A B joining the points of contact of the two tangents is a diameter of the circle . PROPOSITION XIX . THEOREM . 213. If the sum of 100 - GEOMETRY . BOOK II . SUPPLEMENTARY PROPOSITIONS.
... - circumferences ACB and AQ B , and the line A B joining the points of contact of the two tangents is a diameter of the circle . PROPOSITION XIX . THEOREM . 213. If the sum of 100 - GEOMETRY . BOOK II . SUPPLEMENTARY PROPOSITIONS.
Σελίδα 122
... diameter , describe a circumference intersecting the given circumference at the points M and H. Now Draw O M and OH , EM and EH . ZOME is a rt . △ , ( being inscribed in a semicircle ) . .. EM is to OM at the point M ; .. EM is tangent ...
... diameter , describe a circumference intersecting the given circumference at the points M and H. Now Draw O M and OH , EM and EH . ZOME is a rt . △ , ( being inscribed in a semicircle ) . .. EM is to OM at the point M ; .. EM is tangent ...
Σελίδα 126
... diameter A C ; AT is a common tangent to the two semicircles at the point A. Show that if from any point F , in the circumference of the first , a straight line FC be drawn to C , the part FK , cut off by the second semicircle , is ...
... diameter A C ; AT is a common tangent to the two semicircles at the point A. Show that if from any point F , in the circumference of the first , a straight line FC be drawn to C , the part FK , cut off by the second semicircle , is ...
Σελίδα 127
... diameter of the inner circle . 2. Given the base of a triangle , the vertical angle , and the length of the line drawn from the vertex to the middle point of the base construct the triangle . 3. Given a side of a triangle , its vertical ...
... diameter of the inner circle . 2. Given the base of a triangle , the vertical angle , and the length of the line drawn from the vertex to the middle point of the base construct the triangle . 3. Given a side of a triangle , its vertical ...
Σελίδα 138
... diameter drawn through the point . 8. Show that the angle contained by two tangents at the extremities of a chord is twice the angle contained by the chord and the diameter drawn from either extremity of the chord . 9. If a circle can ...
... diameter drawn through the point . 8. Show that the angle contained by two tangents at the extremities of a chord is twice the angle contained by the chord and the diameter drawn from either extremity of the chord . 9. If a circle can ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
AABC ABCD altitude arc A B axis base and altitude centre circle circumference circumscribed coincide conical surface COROLLARY cylinder denote diagonals diameter dihedral angle distance divided draw equal arcs equal respectively equally distant equiangular polygon equilateral equivalent frustum given point greater Hence homologous sides hypotenuse intersection isosceles lateral area lateral edges lateral faces Let A B line A B measured by arc middle point mutually equiangular number of sides parallelogram parallelopiped perimeter perpendicular plane MN prism prove pyramid Q. E. D. PROPOSITION quadrilateral radii radius equal ratio rectangles regular polygon right angles right triangle SCHOLIUM segment sides of equal similar polygons slant height sphere spherical angle spherical polygon spherical triangle square straight line drawn subtend surface symmetrical tangent tetrahedron THEOREM third side trihedral vertex vertices volume
Δημοφιλή αποσπάσματα
Σελίδα 40 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Σελίδα 126 - To describe an isosceles triangle having each of the angles at the base double of the third angle.
Σελίδα 175 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 38 - Any side of a triangle is less than the sum of the other two sides.
Σελίδα 349 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Σελίδα 83 - A straight line perpendicular to a radius at its extremity is a tangent to the circle. Let MB be perpendicular to the radius OA at A.
Σελίδα 207 - To construct a parallelogram equivalent to a given square, and having the difference of its base and altitude equal to a given line.
Σελίδα 188 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side.
Σελίδα 146 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Σελίδα 134 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent. Let a: b = c: d — e :/= g: h.